Juan Belmonte-Beitia
Abstract:
First, we prove that for Schrodinger radial systems
the polar angular coordinate must satisfy
.
Then using radial symmetry, we transform the system
into a generalized Ermakov-Pinney equation and prove the existence
of positive periodic solutions.
Submitted May 13, 2008. Published October 29, 2008.
Math Subject Classifications: 35Q55, 34B15, 35Q51.
Key Words: Nonlinear Schrodinger equation; nonlinearity spatially modulated;
Ermakov-Pinney equation; fixed point theorem.
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Juan Belmonte-Beitia Departamento de Matemáticas, E. T. S. de Ingenieros Industriales and Instituto de Matemática Aplicada a la Ciencia y la Ingeniería (IMACI) Universidad de Castilla-La Mancha s/n, 13071 Ciudad Real, Spain email: juan.belmonte@uclm.es |
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